What i have seen of 803's as best i can remember is that the very earliest can be found(rarely) in the same stamped steel baskets as the 601 used, smooth charcoal paint, water transfer decals, painted magnet with no can, phenolic spider, untreated paper hinge. The next generation came in the first cast basket, two pieces with split rim, charcoal krinkle paint, phenolic spider, untreated paper hinge. The generation after that moved to green hammertone paint, cloth spider, treated paper hinge, still retained the two piece split rim.
There were likely other subtle differences along the way, including the voice coil dimensions, wire type, former type, etc as well as the motor/magnet assembly. I just don't know them intimately enough to comment on more specifics.
The OP's appear to be from that late generation that would have been painted hammertone green if sold under the Altec label.
It's very difficult to assign hard and fast rules as evolution was ongoing, and there will undoubtedly be some exceptions to every rule a person would want to make.
I have heard these have the worst bass response (because of the very limited cone movement, but the best midbass/midrange.
In the right cabinet/horn, they make wonderful bass. But, not with the extension that most of us are looking for and used to with more contemporary music and systems.
I think the best way to sum them up would be to say that they were optimized for the high output impedance amplification of the day. Mate them to the proper period electronics and they can be wonderful. Just don't look for chest thumping, arrhythmia inducing kick drum output from them, or try to blow candles out by playing your favorite pipe organ tune using 64 foot pedal bombard stop.